IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v47y2016i5p1176-1184.html
   My bibliography  Save this article

Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions

Author

Listed:
  • J.L. Pitarch
  • A. Sala
  • J. Lauber
  • T.M. Guerra

Abstract

This paper presents a discrete-time control design methodology for input-saturating systems using a Lyapunov function with dependence on present and past states. The approach is used to bypass the usual difficulty with full polynomial Lyapunov functions of expressing the problem in a convex way. Also polynomial controllers are allowed to depend on both present and past states. Furthermore, by considering saturation limits on the control action, the information about the relationship between the present and past states is introduced via Positivstellensatz multipliers. Sum-of-squares techniques and available semi-definite programming (SDP) software are used in order to find the controller.

Suggested Citation

  • J.L. Pitarch & A. Sala & J. Lauber & T.M. Guerra, 2016. "Control synthesis for polynomial discrete-time systems under input constraints via delayed-state Lyapunov functions," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1176-1184, April.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1176-1184
    DOI: 10.1080/00207721.2014.915357
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2014.915357
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2014.915357?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ali Koshkouei & Keith Burnham, 2011. "Adaptive backstepping sliding mode control for feedforward uncertain systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 1935-1946.
    2. Antonio Gonzalez & Antonio Sala & Pedro Garcia & Pedro Albertos, 2013. "Robustness analysis of discrete predictor-based controllers for input-delay systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 232-239.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shenquan Wang & Jian Feng & Yulian Jiang, 2016. "Input–output method to fault detection for discrete-time fuzzy networked systems with time-varying delay and multiple packet losses," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(7), pages 1495-1513, May.
    2. Yan-Si Lin & Chih-Chiang Cheng, 2016. "Design of block backstepping controllers for a class of perturbed multiple inputs and state-delayed systems in semi-strict-feedback form," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1296-1311, April.
    3. Toshio Yoshimura, 2015. "Design of a simplified adaptive fuzzy backstepping control for uncertain discrete-time nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 763-775, April.
    4. Liang Liu & Yifan Zhang, 2017. "Decentralised output-feedback control for a class of large-scale stochastic high-order upper-triangular nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 838-848, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:tsysxx:v:47:y:2016:i:5:p:1176-1184. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.